Resumen de Lebesgue points and convergence over cone-like sets
We generalize the well known Lebesgue’s theorem about the convergence of Fejér means for higher dimensions. Under some conditions on θ, we show that the summability means σθT f of a function f from the largest Wiener amalgam space W(L1 (Rd) converge to f at each modified Lebesgue point, whenever T → ∞ and T is in a cone-like set. The result holds for the Weierstrass, Abel, Picar, Bessel, Fejér, Cesàro, de La Vallée-Poussin, Rogosinski and Riesz summations.
